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## Numerical

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A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through poin...
JEE Advanced 2021 Paper 1 Offline
A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $${60^ \circ ... JEE Advanced 2018 Paper 1 Offline Two vectors$$\overrightarrow A $$and$$\overrightarrow B $$are defined as$$\overrightarrow A =a\widehat i...
JEE Advanced 2018 Paper 1 Offline
Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C w...
JEE Advanced 2015 Paper 1 Offline
The densities of two solid spheres A and B of the same radii R vary with radial distance r as $${\rho _A}(r) = k\left( {... JEE Advanced 2015 Paper 2 Offline A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring t... JEE Advanced 2014 Paper 1 Offline A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three... JEE Advanced 2014 Paper 1 Offline A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s-1 about its own ... JEE Advanced 2013 Paper 1 Offline A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of ... IIT-JEE 2011 Paper 1 Offline Four solid spheres each of diameter$$\sqrt 5 $$cm and mass 0.5 kg are placed with their centers at the corners of a sq... IIT-JEE 2011 Paper 1 Offline ## MCQ (More than One Correct Answer) More A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to i... JEE Advanced 2021 Paper 1 Offline A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at spe... JEE Advanced 2020 Paper 2 Offline A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from ... JEE Advanced 2019 Paper 2 Offline Consider a body of mass$$1.0kg$$at rest at the origin at time$$t=0.$$A force$$\overrightarrow F = \left( {\al...
JEE Advanced 2018 Paper 1 Offline
The potential energy of a particle of mass $$m$$ at a distance $$r$$ from a fixed point $$O$$ is given by $$V\left( r \r... JEE Advanced 2018 Paper 1 Offline A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figur... JEE Advanced 2017 Paper 2 Offline A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant fo... JEE Advanced 2017 Paper 2 Offline A block of mass$$M$$has a circular cut with a frictionless surface as shown. The block resets on the horizontal fricti... JEE Advanced 2017 Paper 1 Offline The position vector$$\overrightarrow r $$of a particle of mass m is given by the following equation$$\$\overrightarrow...
JEE Advanced 2016 Paper 1 Offline
Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid...
JEE Advanced 2016 Paper 2 Offline
A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a fixed vertical axis passing through its ...
JEE Advanced 2015 Paper 1 Offline
The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal...
IIT-JEE 2012 Paper 2 Offline
Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height ...
IIT-JEE 2012 Paper 2 Offline
A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( &lt; L) is attached at it...
IIT-JEE 2011 Paper 1 Offline

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A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal flo...
JEE Advanced 2020 Paper 1 (Offline)
The minimum value of $$\omega$$0 below which the ring will drop down is
JEE Advanced 2017 Paper 2 Offline
The total kinetic energy of the ring is
JEE Advanced 2017 Paper 2 Offline
Consider regular polygons with number of sides $$n=3,4,5....$$ as shown in the figure. The center of mass of all the pol...
JEE Advanced 2017 Paper 2 Offline
A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial fra...
JEE Advanced 2016 Paper 2 Offline
A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial fra...
JEE Advanced 2016 Paper 2 Offline
A uniform wooden stick of mass 1.6 kg and length $$l$$ rests in an inclined manner on a smooth, vertical wall of height ...
JEE Advanced 2016 Paper 1 Offline
Which of the following statements regarding the angular speed about the instantaneous axis (passing through the centre o...
IIT-JEE 2012 Paper 2 Offline
Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct?
IIT-JEE 2012 Paper 2 Offline
A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed $$\omega$$, as shown i...
IIT-JEE 2012 Paper 1 Offline
A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is underg...
IIT-JEE 2012 Paper 1 Offline
Consider a disc rotating in the horizontal plane with a constant angular speed $$\omega$$ about its centre O. The disc ...
IIT-JEE 2012 Paper 2 Offline
Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular...
IIT-JEE 2012 Paper 2 Offline

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